It is given that set W = { x, y, z).
What is the subset of set W?

Please check the explanation.

Step-by-step explanation:

Given the set W = {x, y, z}

If there are n elements in a set, then are 2ⁿ subsets.

As there are 3 elements in a set, then are 2³ or 8 subsets.

so

W = {x, y, z} has 8 subsets.

They are:

∅, {x}, {y}, {x}, {x, y}, {x, z}, {y, z}, and {x, y, z}

y= 2x+7

changed to y= 5x +7

as slope is increased from 2 to 5

therefore it would be less steeper

so, option d) is correct

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus